广义双线性系统的输出变结构控制

Output Feedback Variable Structure Control of Singular Bilinear Systems

首次利用广义Lyapunov函数方法针对不确定广义双线性系统的输出变结构控制问题进行研究.首先,选取设计了带有滑动模动态补偿器的切换函数,保证了系统在准切换流形上的渐近稳定性.其次,在不确定参数和扰动范数有界的条件下,设计了变结构控制器,使得在控制下闭环系统在有限时间内实现滑模运动.最后,通过数值算例说明了设计方法的合理性和有效性.

The problem of output feedback variable structure control of singular bilinear systems （SBS） with parameter uncertainty and disturbance by using generalized Lyapunov function firstly. Above all, a switching function with a dynamical compensator is chosen, such that asymptotically stability of SBS is guaranteed in the quasi-switching manifold. Secondly, when the uncertainty and the disturbance are norm bounded, a variable structure controller is designed, so that the solution trajectory of the closed SBS realizes sliding movement in finite time, Finally, the feasibility and validity of the designing method are illustrated by numerical examples.